static const int size = 64;

static const mat33 tabM[size*size] = {
{0.000020, 0.000000, 0.000000, 0.000000, 0.000020, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.000504, 0.000000, 0.000000, 0.000000, 0.000504, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.002016, 0.000000, 0.000000, 0.000000, 0.002016, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.004535, 0.000000, 0.000000, 0.000000, 0.004535, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.008063, 0.000000, 0.000000, 0.000000, 0.008063, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.012598, 0.000000, 0.000000, 0.000000, 0.012598, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.018141, 0.000000, 0.000000, 0.000000, 0.018141, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.024692, 0.000000, 0.000000, 0.000000, 0.024692, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.032253, 0.000000, 0.000000, 0.000000, 0.032253, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.040821, 0.000000, 0.000000, 0.000000, 0.040821, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.050400, 0.000000, 0.000000, 0.000000, 0.050400, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.060989, 0.000000, 0.000000, 0.000000, 0.060989, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.072591, 0.000000, 0.000000, 0.000000, 0.072591, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.085206, 0.000000, 0.000000, 0.000000, 0.085206, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.098836, 0.000000, 0.000000, 0.000000, 0.098836, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.113484, 0.000000, 0.000000, 0.000000, 0.113484, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.129153, 0.000000, 0.000000, 0.000000, 0.129153, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.145839, 0.000000, 0.000000, 0.000000, 0.145839, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.163548, 0.000000, 0.000000, 0.000000, 0.163548, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.182266, 0.000000, 0.000000, 0.000000, 0.182266, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.201942, 0.000000, 0.000000, 0.000000, 0.201942, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.222314, 0.000000, 0.000000, 0.000000, 0.222314, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.241906, 0.000000, 0.000000, 0.000000, 0.241906, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.262314, 0.000000, 0.000000, 0.000000, 0.262314, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.285754, 0.000000, 0.000000, 0.000000, 0.285754, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.310159, 0.000000, 0.000000, 0.000000, 0.310159, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.335426, 0.000000, 0.000000, 0.000000, 0.335426, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.361341, 0.000000, 0.000000, 0.000000, 0.361341, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.387445, 0.000000, 0.000000, 0.000000, 0.387445, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.412784, 0.000000, 0.000000, 0.000000, 0.412784, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.438197, 0.000000, 0.000000, 0.000000, 0.438197, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.466966, 0.000000, 0.000000, 0.000000, 0.466966, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.495590, 0.000000, 0.000000, 0.000000, 0.495590, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.523448, 0.000000, 0.000000, 0.000000, 0.523448, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.549938, 0.000000, 0.000000, 0.000000, 0.549938, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.579790, 0.000000, 0.000000, 0.000000, 0.579790, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.608746, 0.000000, 0.000000, 0.000000, 0.608746, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.636185, 0.000000, 0.000000, 0.000000, 0.636185, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.664748, 0.000000, 0.000000, 0.000000, 0.664748, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.693130, 0.000000, 0.000000, 0.000000, 0.693130, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.719660, 0.000000, 0.000000, 0.000000, 0.719660, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.747662, 0.000000, 0.000000, 0.000000, 0.747662, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.774023, 0.000000, 0.000000, 0.000000, 0.774023, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.799775, 0.000000, 0.000000, 0.000000, 0.799775, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.825274, 0.000000, 0.000000, 0.000000, 0.825274, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.849156, 0.000000, 0.000000, 0.000000, 0.849156, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.873248, 0.000000, 0.000000, 0.000000, 0.873248, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.895320, 0.000000, 0.000000, 0.000000, 0.895320, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.917565, 0.000000, 0.000000, 0.000000, 0.917565, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.937863, 0.000000, 0.000000, 0.000000, 0.937863, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.958140, 0.000000, 0.000000, 0.000000, 0.958140, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.976563, 0.000000, 0.000000, 0.000000, 0.976563, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.994658, 0.000000, 0.000000, 0.000000, 0.994658, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.011201, 0.000000, 0.000000, 0.000000, 1.011201, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.027121, 0.000000, 0.000000, 0.000000, 1.027121, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.041890, 0.000000, 0.000000, 0.000000, 1.041890, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.055684, 0.000000, 0.000000, 0.000000, 1.055684, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.068773, 0.000000, 0.000000, 0.000000, 1.068773, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.080578, 0.000000, 0.000000, 0.000000, 1.080578, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.091942, 0.000000, 0.000000, 0.000000, 1.091942, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.101909, 0.000000, 0.000000, 0.000000, 1.101909, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.111614, 0.000000, 0.000000, 0.000000, 1.111614, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.119897, 0.000000, 0.000000, 0.000000, 1.119897, 0.000000, 0.000000, 0.000000, 1.000000}, 
{1.128132, 0.000000, 0.000000, 0.000000, 1.128132, 0.000000, 0.000000, 0.000000, 1.000000}, 
{0.000020, 0.000000, 0.000000, 0.000000, 0.000020, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.000504, 0.000000, 0.000011, 0.000000, 0.000504, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.002015, 0.000000, 0.000045, 0.000000, 0.002015, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.004534, 0.000000, 0.000102, 0.000000, 0.004534, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.008060, 0.000000, 0.000181, 0.000000, 0.008060, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.012595, 0.000000, 0.000283, 0.000000, 0.012595, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.018136, 0.000000, 0.000407, 0.000000, 0.018136, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.024686, 0.000000, 0.000554, 0.000000, 0.024686, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.032244, 0.000000, 0.000724, 0.000000, 0.032244, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.040811, 0.000000, 0.000916, 0.000000, 0.040811, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.050388, 0.000000, 0.001131, 0.000000, 0.050388, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.060974, 0.000000, 0.001369, 0.000000, 0.060974, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.072573, 0.000000, 0.001629, 0.000000, 0.072572, 0.000000, -0.022446, 0.000000, 0.999748}, 
{0.085184, 0.000000, 0.001913, 0.000000, 0.085183, 0.000000, -0.022447, 0.000000, 0.999748}, 
{0.098811, 0.000000, 0.002218, 0.000000, 0.098812, 0.000000, -0.022447, 0.000000, 0.999748}, 
{0.113455, 0.000000, 0.002547, 0.000000, 0.113454, 0.000000, -0.022447, 0.000000, 0.999748}, 
{0.129119, 0.000000, 0.002898, 0.000000, 0.129120, 0.000000, -0.022447, 0.000000, 0.999748}, 
{0.145804, 0.000000, 0.003272, 0.000000, 0.145804, 0.000000, -0.022444, 0.000000, 0.999748}, 
{0.163505, 0.000000, 0.003668, 0.000000, 0.163513, 0.000000, -0.022447, 0.000000, 0.999748}, 
{0.182219, 0.000000, 0.004082, 0.000000, 0.182227, 0.000000, -0.022443, 0.000000, 0.999748}, 
{0.201893, 0.000000, 0.004502, 0.000000, 0.201893, 0.000000, -0.022439, 0.000000, 0.999748}, 
{0.222253, 0.000000, 0.004838, 0.000000, 0.222251, 0.000000, -0.022426, 0.000000, 0.999749}, 
{0.241765, 0.000000, 0.004530, 0.000000, 0.241756, 0.000000, -0.022320, 0.000000, 0.999757}, 
{0.262247, 0.000000, 0.005875, 0.000000, 0.262250, 0.000000, -0.022438, 0.000000, 0.999748}, 
{0.285678, 0.000000, 0.006390, 0.000000, 0.285681, 0.000000, -0.022432, 0.000000, 0.999748}, 
{0.310075, 0.000000, 0.006912, 0.000000, 0.310075, 0.000000, -0.022422, 0.000000, 0.999749}, 
{0.335333, 0.000000, 0.007421, 0.000000, 0.335344, 0.000000, -0.022404, 0.000000, 0.999749}, 
{0.361261, 0.000000, 0.007865, 0.000000, 0.361239, 0.000000, -0.022374, 0.000000, 0.999750}, 
{0.387311, 0.000000, 0.008121, 0.000000, 0.387309, 0.000000, -0.022288, 0.000000, 0.999753}, 
{0.412626, 0.000000, 0.008001, 0.000000, 0.412598, 0.000000, -0.022112, 0.000000, 0.999759}, 
{0.438089, 0.000000, 0.009529, 0.000000, 0.438109, 0.000000, -0.022310, 0.000000, 0.999751}, 
{0.466827, 0.000000, 0.009915, 0.000000, 0.466841, 0.000000, -0.022211, 0.000000, 0.999754}, 
{0.495440, 0.000000, 0.010096, 0.000000, 0.495435, 0.000000, -0.022045, 0.000000, 0.999758}, 
{0.523304, 0.000000, 0.009970, 0.000000, 0.523292, 0.000000, -0.021811, 0.000000, 0.999766}, 
{0.550339, 0.000000, 0.010505, 0.000000, 0.550323, 0.000000, -0.021714, 0.000000, 0.999768}, 
{0.579617, 0.000000, 0.011421, 0.000000, 0.579610, 0.000000, -0.021726, 0.000000, 0.999766}, 
{0.608531, 0.000000, 0.011184, 0.000000, 0.608519, 0.000000, -0.021340, 0.000000, 0.999777}, 
{0.636064, 0.000000, 0.010774, 0.000000, 0.636056, 0.000000, -0.020872, 0.000000, 0.999790}, 
{0.664646, 0.000000, 0.012170, 0.000000, 0.664587, 0.000000, -0.021020, 0.000000, 0.999783}, 
{0.692987, 0.000000, 0.011604, 0.000000, 0.692883, 0.000000, -0.020437, 0.000000, 0.999798}, 
{0.719881, 0.000000, 0.011563, 0.000000, 0.719801, 0.000000, -0.019984, 0.000000, 0.999808}, 
{0.747475, 0.000000, 0.012113, 0.000000, 0.747468, 0.000000, -0.019744, 0.000000, 0.999811}, 
{0.773804, 0.000000, 0.011079, 0.000000, 0.773771, 0.000000, -0.018887, 0.000000, 0.999832}, 
{0.799701, 0.000000, 0.012239, 0.000000, 0.799628, 0.000000, -0.018849, 0.000000, 0.999829}, 
{0.825070, 0.000000, 0.011033, 0.000000, 0.825120, 0.000000, -0.017801, 0.000000, 0.999851}, 
{0.849293, 0.000000, 0.011495, 0.000000, 0.849153, 0.000000, -0.017427, 0.000000, 0.999856}, 
{0.873222, 0.000000, 0.010595, 0.000000, 0.873064, 0.000000, -0.016439, 0.000000, 0.999874}, 
{0.895613, 0.000000, 0.010602, 0.000000, 0.895434, 0.000000, -0.015827, 0.000000, 0.999883}, 
{0.917601, 0.000000, 0.009801, 0.000000, 0.917416, 0.000000, -0.014817, 0.000000, 0.999899}, 
{0.938133, 0.000000, 0.009674, 0.000000, 0.938052, 0.000000, -0.014074, 0.000000, 0.999908}, 
{0.958106, 0.000000, 0.008693, 0.000000, 0.957956, 0.000000, -0.012957, 0.000000, 0.999924}, 
{0.976753, 0.000000, 0.008670, 0.000000, 0.976595, 0.000000, -0.012235, 0.000000, 0.999931}, 
{0.994631, 0.000000, 0.007321, 0.000000, 0.994485, 0.000000, -0.010898, 0.000000, 0.999947}, 
{1.011318, 0.000000, 0.007561, 0.000000, 1.011204, 0.000000, -0.010273, 0.000000, 0.999951}, 
{1.027114, 0.000000, 0.005838, 0.000000, 1.027024, 0.000000, -0.008789, 0.000000, 0.999966}, 
{1.042001, 0.000000, 0.006315, 0.000000, 1.041881, 0.000000, -0.008276, 0.000000, 0.999968}, 
{1.055805, 0.000000, 0.004508, 0.000000, 1.055699, 0.000000, -0.006747, 0.000000, 0.999980}, 
{1.068736, 0.000000, 0.004861, 0.000000, 1.068624, 0.000000, -0.006211, 0.000000, 0.999982}, 
{1.080695, 0.000000, 0.003221, 0.000000, 1.080645, 0.000000, -0.004783, 0.000000, 0.999990}, 
{1.091894, 0.000000, 0.003182, 0.000000, 1.091817, 0.000000, -0.004064, 0.000000, 0.999992}, 
{1.102032, 0.000000, 0.001933, 0.000000, 1.102075, 0.000000, -0.002807, 0.000000, 0.999997}, 
{1.111602, 0.000000, 0.001537, 0.000000, 1.111525, 0.000000, -0.001988, 0.000000, 0.999998}, 
{1.120168, 0.000000, 0.000624, 0.000000, 1.120094, 0.000000, -0.000918, 0.000000, 1.000000}, 
{1.128132, 0.000000, 0.000001, 0.000000, 1.128132, 0.000000, -0.000001, 0.000000, 1.000000}, 
{0.000020, 0.000000, 0.000001, 0.000000, 0.000020, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.000503, 0.000000, 0.000023, 0.000000, 0.000503, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.002014, 0.000000, 0.000090, 0.000000, 0.002014, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.004531, 0.000000, 0.000204, 0.000000, 0.004531, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.008054, 0.000000, 0.000362, 0.000000, 0.008054, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.012585, 0.000000, 0.000565, 0.000000, 0.012585, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.018123, 0.000000, 0.000814, 0.000000, 0.018123, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.024668, 0.000000, 0.001108, 0.000000, 0.024668, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.032220, 0.000000, 0.001448, 0.000000, 0.032220, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.040780, 0.000000, 0.001832, 0.000000, 0.040780, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.050349, 0.000000, 0.002262, 0.000000, 0.050349, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.060928, 0.000000, 0.002737, 0.000000, 0.060928, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.072518, 0.000000, 0.003258, 0.000000, 0.072517, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.085119, 0.000000, 0.003824, 0.000000, 0.085121, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.098736, 0.000000, 0.004436, 0.000000, 0.098737, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.113367, 0.000000, 0.005093, 0.000000, 0.113370, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.129018, 0.000000, 0.005796, 0.000000, 0.129021, 0.000000, -0.044884, 0.000000, 0.998992}, 
{0.145692, 0.000000, 0.006543, 0.000000, 0.145695, 0.000000, -0.044883, 0.000000, 0.998992}, 
{0.163387, 0.000000, 0.007335, 0.000000, 0.163386, 0.000000, -0.044881, 0.000000, 0.998992}, 
{0.182082, 0.000000, 0.008163, 0.000000, 0.182082, 0.000000, -0.044881, 0.000000, 0.998992}, 
{0.201732, 0.000000, 0.008999, 0.000000, 0.201733, 0.000000, -0.044873, 0.000000, 0.998993}, 
{0.222036, 0.000000, 0.009653, 0.000000, 0.222030, 0.000000, -0.044837, 0.000000, 0.998995}, 
{0.241517, 0.000000, 0.009236, 0.000000, 0.241459, 0.000000, -0.044654, 0.000000, 0.999023}, 
{0.262040, 0.000000, 0.011747, 0.000000, 0.262054, 0.000000, -0.044867, 0.000000, 0.998993}, 
{0.285451, 0.000000, 0.012775, 0.000000, 0.285467, 0.000000, -0.044858, 0.000000, 0.998993}, 
{0.309821, 0.000000, 0.013818, 0.000000, 0.309847, 0.000000, -0.044840, 0.000000, 0.998994}, 
{0.335065, 0.000000, 0.014834, 0.000000, 0.335079, 0.000000, -0.044809, 0.000000, 0.998996}, 
{0.360935, 0.000000, 0.015714, 0.000000, 0.360951, 0.000000, -0.044737, 0.000000, 0.999000}, 
{0.386949, 0.000000, 0.016212, 0.000000, 0.386942, 0.000000, -0.044552, 0.000000, 0.999011}, 
{0.412191, 0.000000, 0.015958, 0.000000, 0.412152, 0.000000, -0.044208, 0.000000, 0.999038}, 
{0.438101, 0.000000, 0.018410, 0.000000, 0.438117, 0.000000, -0.044463, 0.000000, 0.999014}, 
{0.466397, 0.000000, 0.019808, 0.000000, 0.466429, 0.000000, -0.044418, 0.000000, 0.999015}, 
{0.494961, 0.000000, 0.020158, 0.000000, 0.494984, 0.000000, -0.044103, 0.000000, 0.999033}, 
{0.522803, 0.000000, 0.019900, 0.000000, 0.522784, 0.000000, -0.043596, 0.000000, 0.999065}, 
{0.550406, 0.000000, 0.021074, 0.000000, 0.550370, 0.000000, -0.043449, 0.000000, 0.999069}, 
{0.579125, 0.000000, 0.022809, 0.000000, 0.579104, 0.000000, -0.043430, 0.000000, 0.999065}, 
{0.608041, 0.000000, 0.022328, 0.000000, 0.607990, 0.000000, -0.042685, 0.000000, 0.999107}, 
{0.635976, 0.000000, 0.022325, 0.000000, 0.635915, 0.000000, -0.042030, 0.000000, 0.999141}, 
{0.664128, 0.000000, 0.024133, 0.000000, 0.664059, 0.000000, -0.041931, 0.000000, 0.999136}, 
{0.692438, 0.000000, 0.023162, 0.000000, 0.692293, 0.000000, -0.040843, 0.000000, 0.999193}, 
{0.719858, 0.000000, 0.023385, 0.000000, 0.719718, 0.000000, -0.040085, 0.000000, 0.999225}, 
{0.747030, 0.000000, 0.024185, 0.000000, 0.746821, 0.000000, -0.039495, 0.000000, 0.999245}, 
{0.773730, 0.000000, 0.022891, 0.000000, 0.773424, 0.000000, -0.038032, 0.000000, 0.999312}, 
{0.799602, 0.000000, 0.023537, 0.000000, 0.799334, 0.000000, -0.037261, 0.000000, 0.999336}, 
{0.824894, 0.000000, 0.022328, 0.000000, 0.824551, 0.000000, -0.035675, 0.000000, 0.999401}, 
{0.849525, 0.000000, 0.022329, 0.000000, 0.849101, 0.000000, -0.034552, 0.000000, 0.999437}, 
{0.873031, 0.000000, 0.021361, 0.000000, 0.872531, 0.000000, -0.032917, 0.000000, 0.999494}, 
{0.895936, 0.000000, 0.020809, 0.000000, 0.895398, 0.000000, -0.031465, 0.000000, 0.999539}, 
{0.917582, 0.000000, 0.019859, 0.000000, 0.916983, 0.000000, -0.029719, 0.000000, 0.999591}, 
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{0.155236, 0.000000, 0.261193, 0.000000, 0.042165, 0.000000, -1.035495, 0.000000, 0.215014}, 
{0.179572, 0.000000, 0.282078, 0.000000, 0.050069, 0.000000, -1.035959, 0.000000, 0.234808}, 
{0.200594, 0.000000, 0.294968, 0.000000, 0.059101, 0.000000, -1.033782, 0.000000, 0.258135}, 
{0.229468, 0.000000, 0.316590, 0.000000, 0.068915, 0.000000, -1.031552, 0.000000, 0.280762}, 
{0.253166, 0.000000, 0.328352, 0.000000, 0.080256, 0.000000, -1.026759, 0.000000, 0.306043}, 
{0.285502, 0.000000, 0.348667, 0.000000, 0.092849, 0.000000, -1.021648, 0.000000, 0.330749}, 
{0.311589, 0.000000, 0.358787, 0.000000, 0.107189, 0.000000, -1.014626, 0.000000, 0.356773}, 
{0.339622, 0.000000, 0.369135, 0.000000, 0.123179, 0.000000, -1.005852, 0.000000, 0.383679}, 
{0.375493, 0.000000, 0.385577, 0.000000, 0.139886, 0.000000, -0.995767, 0.000000, 0.410820}, 
{0.402858, 0.000000, 0.391091, 0.000000, 0.159109, 0.000000, -0.983192, 0.000000, 0.439239}, 
{0.445768, 0.000000, 0.409323, 0.000000, 0.179185, 0.000000, -0.969494, 0.000000, 0.467403}, 
{0.473902, 0.000000, 0.411733, 0.000000, 0.202072, 0.000000, -0.954230, 0.000000, 0.495654}, 
{0.518718, 0.000000, 0.426474, 0.000000, 0.226130, 0.000000, -0.937338, 0.000000, 0.523939}, 
{0.547281, 0.000000, 0.425793, 0.000000, 0.253202, 0.000000, -0.918460, 0.000000, 0.552432}, 
{0.574051, 0.000000, 0.422559, 0.000000, 0.281988, 0.000000, -0.898010, 0.000000, 0.580685}, 
{0.622809, 0.000000, 0.433603, 0.000000, 0.311948, 0.000000, -0.875894, 0.000000, 0.608681}, 
{0.650054, 0.000000, 0.427824, 0.000000, 0.345435, 0.000000, -0.853282, 0.000000, 0.635564}, 
{0.684283, 0.000000, 0.425433, 0.000000, 0.380747, 0.000000, -0.829163, 0.000000, 0.662005}, 
{0.727228, 0.000000, 0.426748, 0.000000, 0.418061, 0.000000, -0.802161, 0.000000, 0.688742}, 
{0.756502, 0.000000, 0.418557, 0.000000, 0.457147, 0.000000, -0.775672, 0.000000, 0.713692}, 
{0.780775, 0.000000, 0.406782, 0.000000, 0.498809, 0.000000, -0.747442, 0.000000, 0.738165}, 
{0.837281, 0.000000, 0.410153, 0.000000, 0.544292, 0.000000, -0.717508, 0.000000, 0.762057}, 
{0.859043, 0.000000, 0.394969, 0.000000, 0.588853, 0.000000, -0.686489, 0.000000, 0.785002}, 
{0.914427, 0.000000, 0.393803, 0.000000, 0.642035, 0.000000, -0.654634, 0.000000, 0.806868}, 
{0.928295, 0.000000, 0.373565, 0.000000, 0.687380, 0.000000, -0.621874, 0.000000, 0.827680}, 
{0.994595, 0.000000, 0.372972, 0.000000, 0.751192, 0.000000, -0.586994, 0.000000, 0.847878}, 
{1.041081, 0.000000, 0.362638, 0.000000, 0.816819, 0.000000, -0.551628, 0.000000, 0.866782}, 
{1.078007, 0.000000, 0.347494, 0.000000, 0.878088, 0.000000, -0.515594, 0.000000, 0.884469}, 
{1.104706, 0.000000, 0.328106, 0.000000, 0.936525, 0.000000, -0.478239, 0.000000, 0.901134}, 
{1.170860, 0.000000, 0.318772, 0.000000, 1.019104, 0.000000, -0.439615, 0.000000, 0.916712}, 
{1.225876, 0.000000, 0.304074, 0.000000, 1.094408, 0.000000, -0.400234, 0.000000, 0.931028}, 
{1.270234, 0.000000, 0.284964, 0.000000, 1.162978, 0.000000, -0.359731, 0.000000, 0.944153}, 
{1.321477, 0.000000, 0.265746, 0.000000, 1.231286, 0.000000, -0.319783, 0.000000, 0.955712}, 
{1.355507, 0.000000, 0.241666, 0.000000, 1.294745, 0.000000, -0.278773, 0.000000, 0.966068}, 
{1.386957, 0.000000, 0.216182, 0.000000, 1.348116, 0.000000, -0.238313, 0.000000, 0.974929}, 
{1.451113, 0.000000, 0.194185, 0.000000, 1.416904, 0.000000, -0.201323, 0.000000, 0.981973}, 
{1.508507, 0.000000, 0.169112, 0.000000, 1.482429, 0.000000, -0.167089, 0.000000, 0.987533}, 
{1.555388, 0.000000, 0.141084, 0.000000, 1.542048, 0.000000, -0.129162, 0.000000, 0.992390}, 
{1.621776, 0.000000, 0.112868, 0.000000, 1.603690, 0.000000, -0.091586, 0.000000, 0.996045}, 
{1.661702, 0.000000, 0.081008, 0.000000, 1.659663, 0.000000, -0.049019, 0.000000, 0.998798}
};

static const mat33 tabMinv[size*size] = {
{50000.003906, -0.000000, 0.000000, -0.000000, 50000.003906, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1984.499756, -0.000000, 0.000000, -0.000000, 1984.499756, -0.000000, 0.000000, -0.000000, 1.000000}, 
{496.124725, -0.000000, 0.000000, -0.000000, 496.124725, -0.000000, 0.000000, -0.000000, 1.000000}, 
{220.499557, -0.000000, 0.000000, -0.000000, 220.499557, -0.000000, 0.000000, -0.000000, 1.000000}, 
{124.030586, -0.000000, 0.000000, -0.000000, 124.030586, -0.000000, 0.000000, -0.000000, 1.000000}, 
{79.379028, -0.000000, 0.000000, -0.000000, 79.379028, -0.000000, 0.000000, -0.000000, 1.000000}, 
{55.123631, -0.000000, 0.000000, -0.000000, 55.123631, -0.000000, 0.000000, -0.000000, 1.000000}, 
{40.498268, -0.000000, 0.000000, -0.000000, 40.498268, -0.000000, 0.000000, -0.000000, 1.000000}, 
{31.005322, -0.000000, 0.000000, -0.000000, 31.005322, -0.000000, 0.000000, -0.000000, 1.000000}, 
{24.496990, -0.000000, 0.000000, -0.000000, 24.496990, -0.000000, 0.000000, -0.000000, 1.000000}, 
{19.841328, -0.000000, 0.000000, -0.000000, 19.841328, -0.000000, 0.000000, -0.000000, 1.000000}, 
{16.396280, -0.000000, 0.000000, -0.000000, 16.396280, -0.000000, 0.000000, -0.000000, 1.000000}, 
{13.775893, -0.000000, 0.000000, -0.000000, 13.775893, -0.000000, 0.000000, -0.000000, 1.000000}, 
{11.736287, -0.000000, 0.000000, -0.000000, 11.736287, -0.000000, 0.000000, -0.000000, 1.000000}, 
{10.117739, -0.000000, 0.000000, -0.000000, 10.117739, -0.000000, 0.000000, -0.000000, 1.000000}, 
{8.811811, -0.000000, 0.000000, -0.000000, 8.811811, -0.000000, 0.000000, -0.000000, 1.000000}, 
{7.742775, -0.000000, 0.000000, -0.000000, 7.742775, -0.000000, 0.000000, -0.000000, 1.000000}, 
{6.856871, -0.000000, 0.000000, -0.000000, 6.856871, -0.000000, 0.000000, -0.000000, 1.000000}, 
{6.114401, -0.000000, 0.000000, -0.000000, 6.114401, -0.000000, 0.000000, -0.000000, 1.000000}, 
{5.486474, -0.000000, 0.000000, -0.000000, 5.486474, -0.000000, 0.000000, -0.000000, 1.000000}, 
{4.951916, -0.000000, 0.000000, -0.000000, 4.951916, -0.000000, 0.000000, -0.000000, 1.000000}, 
{4.498145, -0.000000, 0.000000, -0.000000, 4.498145, -0.000000, 0.000000, -0.000000, 1.000000}, 
{4.133845, -0.000000, 0.000000, -0.000000, 4.133845, -0.000000, 0.000000, -0.000000, 1.000000}, 
{3.812230, -0.000000, 0.000000, -0.000000, 3.812230, -0.000000, 0.000000, -0.000000, 1.000000}, 
{3.499518, -0.000000, 0.000000, -0.000000, 3.499518, -0.000000, 0.000000, -0.000000, 1.000000}, 
{3.224152, -0.000000, 0.000000, -0.000000, 3.224152, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.981286, -0.000000, 0.000000, -0.000000, 2.981286, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.767468, -0.000000, 0.000000, -0.000000, 2.767468, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.581009, -0.000000, 0.000000, -0.000000, 2.581009, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.422576, -0.000000, 0.000000, -0.000000, 2.422576, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.282079, -0.000000, 0.000000, -0.000000, 2.282079, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.141484, -0.000000, 0.000000, -0.000000, 2.141484, -0.000000, 0.000000, -0.000000, 1.000000}, 
{2.017796, -0.000000, 0.000000, -0.000000, 2.017796, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.910408, -0.000000, 0.000000, -0.000000, 1.910408, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.818386, -0.000000, 0.000000, -0.000000, 1.818386, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.724764, -0.000000, 0.000000, -0.000000, 1.724764, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.642722, -0.000000, 0.000000, -0.000000, 1.642722, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.571869, -0.000000, 0.000000, -0.000000, 1.571869, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.504328, -0.000000, 0.000000, -0.000000, 1.504328, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.442731, -0.000000, 0.000000, -0.000000, 1.442731, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.389545, -0.000000, 0.000000, -0.000000, 1.389545, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.337503, -0.000000, 0.000000, -0.000000, 1.337503, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.291951, -0.000000, 0.000000, -0.000000, 1.291951, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.250351, -0.000000, 0.000000, -0.000000, 1.250351, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.211718, -0.000000, 0.000000, -0.000000, 1.211718, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.177641, -0.000000, 0.000000, -0.000000, 1.177641, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.145151, -0.000000, 0.000000, -0.000000, 1.145151, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.116919, -0.000000, 0.000000, -0.000000, 1.116919, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.089841, -0.000000, 0.000000, -0.000000, 1.089841, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.066254, -0.000000, 0.000000, -0.000000, 1.066254, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.043689, -0.000000, 0.000000, -0.000000, 1.043689, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.023999, -0.000000, 0.000000, -0.000000, 1.023999, -0.000000, 0.000000, -0.000000, 1.000000}, 
{1.005371, -0.000000, 0.000000, -0.000000, 1.005371, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.988923, -0.000000, 0.000000, -0.000000, 0.988923, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.973595, -0.000000, 0.000000, -0.000000, 0.973595, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.959794, -0.000000, 0.000000, -0.000000, 0.959794, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.947253, -0.000000, 0.000000, -0.000000, 0.947253, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.935653, -0.000000, 0.000000, -0.000000, 0.935653, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.925431, -0.000000, 0.000000, -0.000000, 0.925431, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.915799, -0.000000, 0.000000, -0.000000, 0.915799, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.907516, -0.000000, 0.000000, -0.000000, 0.907516, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.899592, -0.000000, 0.000000, -0.000000, 0.899592, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.892939, -0.000000, 0.000000, -0.000000, 0.892939, -0.000000, 0.000000, -0.000000, 1.000000}, 
{0.886421, -0.000000, 0.000000, -0.000000, 0.886421, -0.000000, 0.000000, -0.000000, 1.000000}, 
{49989.300781, -0.000000, -0.022446, -0.000000, 50011.960938, -0.000000, 1122.355225, -0.000000, 0.999748}, 
{1983.999146, -0.000000, -0.022446, -0.000000, 1985.000977, -0.000000, 44.544567, -0.000000, 0.999748}, 
{495.999573, -0.000000, -0.022446, -0.000000, 496.249939, -0.000000, 11.136137, -0.000000, 0.999748}, 
{220.444061, -0.000000, -0.022446, -0.000000, 220.555176, -0.000000, 4.949390, -0.000000, 0.999748}, 
{123.999367, -0.000000, -0.022446, -0.000000, 124.062004, -0.000000, 2.784022, -0.000000, 0.999748}, 
{79.359032, -0.000000, -0.022446, -0.000000, 79.398956, -0.000000, 1.781760, -0.000000, 0.999748}, 
{55.109707, -0.000000, -0.022446, -0.000000, 55.137482, -0.000000, 1.237318, -0.000000, 0.999748}, 
{40.488037, -0.000000, -0.022446, -0.000000, 40.508358, -0.000000, 0.909032, -0.000000, 0.999748}, 
{30.997522, -0.000000, -0.022446, -0.000000, 31.013073, -0.000000, 0.695952, -0.000000, 0.999748}, 
{24.490726, -0.000000, -0.022446, -0.000000, 24.503098, -0.000000, 0.549862, -0.000000, 0.999748}, 
{19.836147, -0.000000, -0.022446, -0.000000, 19.846094, -0.000000, 0.445362, -0.000000, 0.999748}, 
{16.392149, -0.000000, -0.022446, -0.000000, 16.400446, -0.000000, 0.368034, -0.000000, 0.999748}, 
{13.772375, -0.000000, -0.022446, -0.000000, 13.779421, -0.000000, 0.309211, -0.000000, 0.999748}, 
{11.733389, -0.000000, -0.022446, -0.000000, 11.739386, -0.000000, 0.263448, -0.000000, 0.999748}, 
{10.115190, -0.000000, -0.022445, -0.000000, 10.120268, -0.000000, 0.227112, -0.000000, 0.999748}, 
{8.809633, -0.000000, -0.022444, -0.000000, 8.814107, -0.000000, 0.197796, -0.000000, 0.999748}, 
{7.740908, -0.000000, -0.022443, -0.000000, 7.744727, -0.000000, 0.173805, -0.000000, 0.999748}, 
{6.855074, -0.000000, -0.022438, -0.000000, 6.858546, -0.000000, 0.153896, -0.000000, 0.999748}, 
{6.112929, -0.000000, -0.022428, -0.000000, 6.115708, -0.000000, 0.137251, -0.000000, 0.999748}, 
{5.485146, -0.000000, -0.022399, -0.000000, 5.487651, -0.000000, 0.123136, -0.000000, 0.999749}, 
{4.950631, -0.000000, -0.022292, -0.000000, 4.953113, -0.000000, 0.111117, -0.000000, 0.999751}, 
{4.497179, -0.000000, -0.021762, -0.000000, 4.499415, -0.000000, 0.100878, -0.000000, 0.999763}, 
{4.134517, -0.000000, -0.018735, -0.000000, 4.136395, -0.000000, 0.092304, -0.000000, 0.999825}, 
{3.811278, -0.000000, -0.022399, -0.000000, 3.813155, -0.000000, 0.085540, -0.000000, 0.999749}, 
{3.498694, -0.000000, -0.022361, -0.000000, 3.500414, -0.000000, 0.078504, -0.000000, 0.999750}, 
{3.223417, -0.000000, -0.022286, -0.000000, 3.225026, -0.000000, 0.072294, -0.000000, 0.999752}, 
{2.980635, -0.000000, -0.022126, -0.000000, 2.982008, -0.000000, 0.066794, -0.000000, 0.999755}, 
{2.766735, -0.000000, -0.021766, -0.000000, 2.768247, -0.000000, 0.061919, -0.000000, 0.999763}, 
{2.580700, -0.000000, -0.020963, -0.000000, 2.581916, -0.000000, 0.057532, -0.000000, 0.999780}, 
{2.422464, -0.000000, -0.019388, -0.000000, 2.423670, -0.000000, 0.053578, -0.000000, 0.999812}, 
{2.281533, -0.000000, -0.021747, -0.000000, 2.282535, -0.000000, 0.050914, -0.000000, 0.999763}, 
{2.141110, -0.000000, -0.021235, -0.000000, 2.142059, -0.000000, 0.047568, -0.000000, 0.999775}, 
{2.017502, -0.000000, -0.020373, -0.000000, 2.018429, -0.000000, 0.044487, -0.000000, 0.999792}, 
{1.910142, -0.000000, -0.019049, -0.000000, 1.910980, -0.000000, 0.041672, -0.000000, 0.999819}, 
{1.816308, -0.000000, -0.019085, -0.000000, 1.817114, -0.000000, 0.039449, -0.000000, 0.999818}, 
{1.724540, -0.000000, -0.019701, -0.000000, 1.725298, -0.000000, 0.037476, -0.000000, 0.999806}, 
{1.642657, -0.000000, -0.018375, -0.000000, 1.643334, -0.000000, 0.035062, -0.000000, 0.999831}, 
{1.571612, -0.000000, -0.016936, -0.000000, 1.572189, -0.000000, 0.032810, -0.000000, 0.999857}, 
{1.503981, -0.000000, -0.018308, -0.000000, 1.504693, -0.000000, 0.031621, -0.000000, 0.999832}, 
{1.442534, -0.000000, -0.016742, -0.000000, 1.443244, -0.000000, 0.029487, -0.000000, 0.999860}, 
{1.388672, -0.000000, -0.016061, -0.000000, 1.389272, -0.000000, 0.027756, -0.000000, 0.999871}, 
{1.337409, -0.000000, -0.016204, -0.000000, 1.337849, -0.000000, 0.026411, -0.000000, 0.999869}, 
{1.291968, -0.000000, -0.014316, -0.000000, 1.292371, -0.000000, 0.024406, -0.000000, 0.999898}, 
{1.250107, -0.000000, -0.015303, -0.000000, 1.250582, -0.000000, 0.023567, -0.000000, 0.999883}, 
{1.211730, -0.000000, -0.013371, -0.000000, 1.211945, -0.000000, 0.021573, -0.000000, 0.999911}, 
{1.177172, -0.000000, -0.013534, -0.000000, 1.177644, -0.000000, 0.020517, -0.000000, 0.999908}, 
{1.144955, -0.000000, -0.012132, -0.000000, 1.145392, -0.000000, 0.018824, -0.000000, 0.999926}, 
{1.116344, -0.000000, -0.011837, -0.000000, 1.116777, -0.000000, 0.017670, -0.000000, 0.999930}, 
{1.089625, -0.000000, -0.010681, -0.000000, 1.090018, -0.000000, 0.016147, -0.000000, 0.999943}, 
{1.065793, -0.000000, -0.010311, -0.000000, 1.066038, -0.000000, 0.015001, -0.000000, 0.999947}, 
{1.043603, -0.000000, -0.009073, -0.000000, 1.043889, -0.000000, 0.013523, -0.000000, 0.999959}, 
{1.023690, -0.000000, -0.008876, -0.000000, 1.023966, -0.000000, 0.012526, -0.000000, 0.999961}, 
{1.005317, -0.000000, -0.007360, -0.000000, 1.005545, -0.000000, 0.010956, -0.000000, 0.999973}, 
{0.988733, -0.000000, -0.007477, -0.000000, 0.988920, -0.000000, 0.010158, -0.000000, 0.999972}, 
{0.973553, -0.000000, -0.005684, -0.000000, 0.973687, -0.000000, 0.008557, -0.000000, 0.999984}, 
{0.959644, -0.000000, -0.006061, -0.000000, 0.959802, -0.000000, 0.007943, -0.000000, 0.999982}, 
{0.947117, -0.000000, -0.004270, -0.000000, 0.947240, -0.000000, 0.006390, -0.000000, 0.999991}, 
{0.935659, -0.000000, -0.004549, -0.000000, 0.935783, -0.000000, 0.005812, -0.000000, 0.999990}, 
{0.925317, -0.000000, -0.002980, -0.000000, 0.925373, -0.000000, 0.004426, -0.000000, 0.999995}, 
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{0.829382, -0.000000, -0.958890, -0.000000, 75.870018, -0.000000, 7.886783, -0.000000, 0.283779}, 
{0.819502, -0.000000, -0.949273, -0.000000, 61.292274, -0.000000, 6.974213, -0.000000, 0.314454}, 
{0.809320, -0.000000, -0.938547, -0.000000, 50.104836, -0.000000, 6.186810, -0.000000, 0.345151}, 
{0.801419, -0.000000, -0.926767, -0.000000, 41.253399, -0.000000, 5.527390, -0.000000, 0.375636}, 
{0.793684, -0.000000, -0.913987, -0.000000, 34.363503, -0.000000, 4.947639, -0.000000, 0.405744}, 
{0.787418, -0.000000, -0.900285, -0.000000, 28.777119, -0.000000, 4.450236, -0.000000, 0.435300}, 
{0.783949, -0.000000, -0.885728, -0.000000, 24.203602, -0.000000, 4.036321, -0.000000, 0.464204}, 
{0.780474, -0.000000, -0.870389, -0.000000, 20.580744, -0.000000, 3.661977, -0.000000, 0.492365}, 
{0.784271, -0.000000, -0.854317, -0.000000, 17.525574, -0.000000, 3.359126, -0.000000, 0.519752}, 
{0.781864, -0.000000, -0.837572, -0.000000, 15.053475, -0.000000, 3.059221, -0.000000, 0.546327}, 
{0.778398, -0.000000, -0.820187, -0.000000, 12.984916, -0.000000, 2.800218, -0.000000, 0.572096}, 
{0.788867, -0.000000, -0.802211, -0.000000, 11.230599, -0.000000, 2.606500, -0.000000, 0.597040}, 
{0.789851, -0.000000, -0.783688, -0.000000, 9.788691, -0.000000, 2.400750, -0.000000, 0.621155}, 
{0.790661, -0.000000, -0.764642, -0.000000, 8.564401, -0.000000, 2.214832, -0.000000, 0.644455}, 
{0.802341, -0.000000, -0.745111, -0.000000, 7.502879, -0.000000, 2.075703, -0.000000, 0.666941}, 
{0.802322, -0.000000, -0.725135, -0.000000, 6.617719, -0.000000, 1.918126, -0.000000, 0.688607}, 
{0.812137, -0.000000, -0.704747, -0.000000, 5.850415, -0.000000, 1.799391, -0.000000, 0.709459}, 
{0.812948, -0.000000, -0.683974, -0.000000, 5.212862, -0.000000, 1.668726, -0.000000, 0.729507}, 
{0.826731, -0.000000, -0.662841, -0.000000, 4.633682, -0.000000, 1.573954, -0.000000, 0.748760}, 
{0.823718, -0.000000, -0.641383, -0.000000, 4.162827, -0.000000, 1.456515, -0.000000, 0.767220}, 
{0.835940, -0.000000, -0.619621, -0.000000, 3.725760, -0.000000, 1.376115, -0.000000, 0.784901}, 
{0.846500, -0.000000, -0.597591, -0.000000, 3.356296, -0.000000, 1.296341, -0.000000, 0.801801}, 
{0.842665, -0.000000, -0.575310, -0.000000, 3.038590, -0.000000, 1.201135, -0.000000, 0.817935}, 
{0.854857, -0.000000, -0.552813, -0.000000, 2.754651, -0.000000, 1.135324, -0.000000, 0.833305}, 
{0.851808, -0.000000, -0.530118, -0.000000, 2.514124, -0.000000, 1.051573, -0.000000, 0.847924}, 
{0.856733, -0.000000, -0.507254, -0.000000, 2.298855, -0.000000, 0.985571, -0.000000, 0.861796}, 
{0.853831, -0.000000, -0.484247, -0.000000, 2.104938, -0.000000, 0.913306, -0.000000, 0.874931}, 
{0.856945, -0.000000, -0.461111, -0.000000, 1.937503, -0.000000, 0.852328, -0.000000, 0.887342}, 
{0.853314, -0.000000, -0.437866, -0.000000, 1.787958, -0.000000, 0.787014, -0.000000, 0.899040}, 
{0.852674, -0.000000, -0.414530, -0.000000, 1.653776, -0.000000, 0.729446, -0.000000, 0.910036}, 
{0.843579, -0.000000, -0.391129, -0.000000, 1.531081, -0.000000, 0.666356, -0.000000, 0.920336}, 
{0.845914, -0.000000, -0.367676, -0.000000, 1.426781, -0.000000, 0.617627, -0.000000, 0.929954}, 
{0.833128, -0.000000, -0.344187, -0.000000, 1.324334, -0.000000, 0.557615, -0.000000, 0.938901}, 
{0.833381, -0.000000, -0.320678, -0.000000, 1.240090, -0.000000, 0.510632, -0.000000, 0.947188}, 
{0.821490, -0.000000, -0.297164, -0.000000, 1.158420, -0.000000, 0.457885, -0.000000, 0.954827}, 
{0.800931, -0.000000, -0.273662, -0.000000, 1.074545, -0.000000, 0.402968, -0.000000, 0.961826}, 
{0.791979, -0.000000, -0.250187, -0.000000, 1.009257, -0.000000, 0.357182, -0.000000, 0.968198}, 
{0.772439, -0.000000, -0.226756, -0.000000, 0.944178, -0.000000, 0.309503, -0.000000, 0.973952}, 
{0.750603, -0.000000, -0.203379, -0.000000, 0.885255, -0.000000, 0.264533, -0.000000, 0.979100}, 
{0.743321, -0.000000, -0.180070, -0.000000, 0.845065, -0.000000, 0.227420, -0.000000, 0.983654}, 
{0.725590, -0.000000, -0.156952, -0.000000, 0.803884, -0.000000, 0.190204, -0.000000, 0.987606}, 
{0.708794, -0.000000, -0.134037, -0.000000, 0.768100, -0.000000, 0.156264, -0.000000, 0.990976}, 
{0.699903, -0.000000, -0.111240, -0.000000, 0.740770, -0.000000, 0.125630, -0.000000, 0.993794}, 
{0.684928, -0.000000, -0.088573, -0.000000, 0.713722, -0.000000, 0.097001, -0.000000, 0.996070}, 
{0.668565, -0.000000, -0.066047, -0.000000, 0.687542, -0.000000, 0.068105, -0.000000, 0.997817}, 
{0.655708, -0.000000, -0.043674, -0.000000, 0.664648, -0.000000, 0.040035, -0.000000, 0.999046}, 
{0.643587, -0.000000, -0.021465, -0.000000, 0.643502, -0.000000, 0.012014, -0.000000, 0.999770}, 
{61.974644, -0.000000, -1.000000, -0.000000, 9999999.000000, -0.000000, 77832.570312, -0.000000, 0.000797}, 
{0.237499, -0.000000, -0.999999, -0.000000, 10000001.000000, -0.000000, 282.591888, -0.000000, 0.001146}, 
{0.602823, -0.000000, -0.999992, -0.000000, 601069.562500, -0.000000, 150.480011, -0.000000, 0.004072}, 
{0.549940, -0.000000, -0.999951, -0.000000, 156788.875000, -0.000000, 56.019009, -0.000000, 0.009904}, 
{0.473015, -0.000000, -0.999834, -0.000000, 57234.945312, -0.000000, 29.543455, -0.000000, 0.018230}, 
{0.537584, -0.000000, -0.999581, -0.000000, 22170.128906, -0.000000, 22.664543, -0.000000, 0.028949}, 
{0.511240, -0.000000, -0.999116, -0.000000, 11220.473633, -0.000000, 16.191339, -0.000000, 0.042030}, 
{0.543781, -0.000000, -0.998349, -0.000000, 5598.933594, -0.000000, 13.544489, -0.000000, 0.057436}, 
{0.544368, -0.000000, -0.997176, -0.000000, 3175.958740, -0.000000, 11.272693, -0.000000, 0.075105}, 
{0.560402, -0.000000, -0.995482, -0.000000, 1914.291626, -0.000000, 9.834952, -0.000000, 0.094951}, 
{0.663706, -0.000000, -0.993150, -0.000000, 840.317810, -0.000000, 20.051725, -0.000000, 0.116851}, 
{0.657397, -0.000000, -0.990060, -0.000000, 576.195251, -0.000000, 16.519022, -0.000000, 0.140645}, 
{0.695611, -0.000000, -0.986103, -0.000000, 394.967133, -0.000000, 14.557106, -0.000000, 0.166132}, 
{0.653639, -0.000000, -0.981184, -0.000000, 293.994934, -0.000000, 11.773590, -0.000000, 0.193075}, 
{0.694797, -0.000000, -0.975228, -0.000000, 202.339615, -0.000000, 10.840356, -0.000000, 0.221204}, 
{0.689130, -0.000000, -0.968186, -0.000000, 161.161362, -0.000000, 9.202153, -0.000000, 0.250233}, 
{0.600560, -0.000000, -0.960039, -0.000000, 130.150635, -0.000000, 7.172390, -0.000000, 0.279865}, 
{0.680942, -0.000000, -0.950797, -0.000000, 97.878876, -0.000000, 7.005846, -0.000000, 0.309815}, 
{0.674686, -0.000000, -0.940490, -0.000000, 77.762932, -0.000000, 6.169040, -0.000000, 0.339820}, 
{0.668931, -0.000000, -0.929171, -0.000000, 62.696095, -0.000000, 5.450744, -0.000000, 0.369650}, 
{0.701290, -0.000000, -0.916901, -0.000000, 49.966965, -0.000000, 5.075269, -0.000000, 0.399115}, 
{0.693803, -0.000000, -0.903747, -0.000000, 41.068153, -0.000000, 4.524885, -0.000000, 0.428066}, 
{0.687041, -0.000000, -0.889777, -0.000000, 34.017036, -0.000000, 4.049410, -0.000000, 0.456395}, 
{0.712576, -0.000000, -0.875054, -0.000000, 27.976839, -0.000000, 3.788163, -0.000000, 0.484026}, 
{0.707650, -0.000000, -0.859634, -0.000000, 23.716101, -0.000000, 3.408004, -0.000000, 0.510910}, 
{0.702206, -0.000000, -0.843570, -0.000000, 19.972290, -0.000000, 3.098095, -0.000000, 0.537020}, 
{0.723648, -0.000000, -0.826906, -0.000000, 16.920141, -0.000000, 2.898081, -0.000000, 0.562341}, 
{0.718051, -0.000000, -0.809683, -0.000000, 14.510527, -0.000000, 2.638203, -0.000000, 0.586868}, 
{0.738131, -0.000000, -0.791939, -0.000000, 12.460135, -0.000000, 2.476395, -0.000000, 0.610600}, 
{0.733947, -0.000000, -0.773707, -0.000000, 10.770168, -0.000000, 2.267084, -0.000000, 0.633543}, 
{0.750783, -0.000000, -0.755022, -0.000000, 9.329357, -0.000000, 2.135152, -0.000000, 0.655700}, 
{0.764910, -0.000000, -0.735914, -0.000000, 8.118291, -0.000000, 2.005283, -0.000000, 0.677076}, 
{0.763316, -0.000000, -0.716413, -0.000000, 7.148672, -0.000000, 1.850163, -0.000000, 0.697676}, 
{0.782304, -0.000000, -0.696551, -0.000000, 6.285011, -0.000000, 1.751110, -0.000000, 0.717508}, 
{0.772326, -0.000000, -0.676355, -0.000000, 5.580825, -0.000000, 1.601969, -0.000000, 0.736576}, 
{0.789536, -0.000000, -0.655856, -0.000000, 4.948734, -0.000000, 1.520009, -0.000000, 0.754886}, 
{0.780221, -0.000000, -0.635081, -0.000000, 4.422230, -0.000000, 1.395831, -0.000000, 0.772446}, 
{0.796690, -0.000000, -0.614057, -0.000000, 3.949418, -0.000000, 1.324557, -0.000000, 0.789262}, 
{0.814647, -0.000000, -0.592811, -0.000000, 3.546249, -0.000000, 1.259825, -0.000000, 0.805341}, 
{0.802076, -0.000000, -0.571370, -0.000000, 3.205661, -0.000000, 1.154190, -0.000000, 0.820693}, 
{0.816704, -0.000000, -0.549757, -0.000000, 2.894900, -0.000000, 1.096474, -0.000000, 0.835325}, 
{0.821598, -0.000000, -0.527995, -0.000000, 2.626416, -0.000000, 1.029055, -0.000000, 0.849247}, 
{0.816825, -0.000000, -0.506110, -0.000000, 2.391998, -0.000000, 0.951337, -0.000000, 0.862469}, 
{0.825485, -0.000000, -0.484121, -0.000000, 2.187480, -0.000000, 0.897175, -0.000000, 0.875001}, 
{0.838455, -0.000000, -0.462049, -0.000000, 2.004774, -0.000000, 0.848992, -0.000000, 0.886854}, 
{0.817356, -0.000000, -0.439916, -0.000000, 1.837249, -0.000000, 0.769575, -0.000000, 0.898039}, 
{0.830258, -0.000000, -0.417739, -0.000000, 1.698217, -0.000000, 0.726065, -0.000000, 0.908567}, 
{0.810419, -0.000000, -0.395536, -0.000000, 1.557547, -0.000000, 0.657514, -0.000000, 0.918450}, 
{0.827149, -0.000000, -0.373325, -0.000000, 1.454799, -0.000000, 0.621476, -0.000000, 0.927701}, 
{0.798208, -0.000000, -0.351122, -0.000000, 1.331218, -0.000000, 0.552607, -0.000000, 0.936330}, 
{0.786245, -0.000000, -0.328943, -0.000000, 1.224262, -0.000000, 0.500374, -0.000000, 0.944350}, 
{0.780899, -0.000000, -0.306803, -0.000000, 1.138838, -0.000000, 0.455219, -0.000000, 0.951773}, 
{0.781962, -0.000000, -0.284715, -0.000000, 1.067778, -0.000000, 0.414993, -0.000000, 0.958612}, 
{0.755441, -0.000000, -0.262693, -0.000000, 0.981254, -0.000000, 0.362277, -0.000000, 0.964879}, 
{0.737141, -0.000000, -0.240750, -0.000000, 0.913736, -0.000000, 0.316885, -0.000000, 0.970587}, 
{0.725264, -0.000000, -0.218899, -0.000000, 0.859862, -0.000000, 0.276332, -0.000000, 0.975747}, 
{0.709021, -0.000000, -0.197151, -0.000000, 0.812159, -0.000000, 0.237239, -0.000000, 0.980373}, 
{0.701635, -0.000000, -0.175517, -0.000000, 0.772352, -0.000000, 0.202467, -0.000000, 0.984476}, 
{0.694540, -0.000000, -0.154009, -0.000000, 0.741776, -0.000000, 0.169775, -0.000000, 0.988070}, 
{0.670725, -0.000000, -0.132635, -0.000000, 0.705764, -0.000000, 0.137511, -0.000000, 0.991165}, 
{0.650567, -0.000000, -0.111408, -0.000000, 0.674568, -0.000000, 0.110075, -0.000000, 0.993775}, 
{0.635425, -0.000000, -0.090336, -0.000000, 0.648488, -0.000000, 0.082702, -0.000000, 0.995911}, 
{0.612687, -0.000000, -0.069427, -0.000000, 0.623562, -0.000000, 0.056336, -0.000000, 0.997587}, 
{0.600356, -0.000000, -0.048692, -0.000000, 0.602532, -0.000000, 0.029464, -0.000000, 0.998814}
};

static const float tabMagnitude[size*size] = {
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
0.999998f, 
0.999994f, 
0.999989f, 
0.999973f, 
0.999947f, 
0.999894f, 
0.999798f, 
0.999617f, 
0.999234f, 
0.998258f, 
0.995040f, 
0.980816f, 
0.967553f, 
0.966877f, 
0.965752f, 
0.963820f, 
0.960306f, 
0.953619f, 
0.941103f, 
0.926619f, 
0.920983f, 
0.912293f, 
0.899277f, 
0.880884f, 
0.870399f, 
0.856138f, 
0.837436f, 
0.820973f, 
0.803583f, 
0.782168f, 
0.764107f, 
0.743092f, 
0.721626f, 
0.700375f, 
0.677334f, 
0.655702f, 
0.632059f, 
0.610125f, 
0.586530f, 
0.564508f, 
0.541405f, 
0.519556f, 
0.497292f, 
0.475898f, 
0.454722f, 
0.434042f, 
0.414126f, 
0.394387f, 
0.375841f, 
0.357219f, 
0.340084f, 
0.322714f, 
0.306974f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
0.999999f, 
0.999998f, 
0.999996f, 
0.999991f, 
0.999983f, 
0.999968f, 
0.999940f, 
0.999891f, 
0.999797f, 
0.999617f, 
0.999227f, 
0.998239f, 
0.994937f, 
0.980225f, 
0.967549f, 
0.966865f, 
0.965739f, 
0.963794f, 
0.960244f, 
0.953495f, 
0.940876f, 
0.926569f, 
0.920905f, 
0.912169f, 
0.899095f, 
0.882209f, 
0.870272f, 
0.855977f, 
0.837431f, 
0.820826f, 
0.803408f, 
0.782838f, 
0.763941f, 
0.742904f, 
0.721463f, 
0.700197f, 
0.677501f, 
0.655527f, 
0.632400f, 
0.609964f, 
0.586839f, 
0.564353f, 
0.541589f, 
0.519413f, 
0.497337f, 
0.475797f, 
0.454659f, 
0.434065f, 
0.414018f, 
0.394550f, 
0.375742f, 
0.357501f, 
0.339996f, 
0.323069f, 
0.306897f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
0.999998f, 
0.999997f, 
0.999995f, 
0.999991f, 
0.999981f, 
0.999967f, 
0.999938f, 
0.999886f, 
0.999792f, 
0.999608f, 
0.999209f, 
0.998179f, 
0.994605f, 
0.979468f, 
0.967529f, 
0.966836f, 
0.965690f, 
0.963706f, 
0.960063f, 
0.953113f, 
0.940192f, 
0.927731f, 
0.920669f, 
0.911799f, 
0.898570f, 
0.883283f, 
0.869890f, 
0.855483f, 
0.837987f, 
0.820546f, 
0.802878f, 
0.783402f, 
0.763439f, 
0.742925f, 
0.721633f, 
0.699850f, 
0.677830f, 
0.655126f, 
0.632697f, 
0.609613f, 
0.587098f, 
0.564119f, 
0.541813f, 
0.519342f, 
0.497514f, 
0.475879f, 
0.454789f, 
0.434217f, 
0.414086f, 
0.394744f, 
0.375782f, 
0.357707f, 
0.340038f, 
0.323284f, 
0.306954f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
0.999999f, 
0.999998f, 
0.999997f, 
0.999993f, 
0.999988f, 
0.999979f, 
0.999962f, 
0.999933f, 
0.999881f, 
0.999783f, 
0.999594f, 
0.999178f, 
0.998073f, 
0.993993f, 
0.979982f, 
0.968145f, 
0.966786f, 
0.965611f, 
0.963557f, 
0.959752f, 
0.952461f, 
0.940193f, 
0.929042f, 
0.920266f, 
0.911178f, 
0.897873f, 
0.884053f, 
0.869455f, 
0.854655f, 
0.838347f, 
0.820693f, 
0.802277f, 
0.783634f, 
0.763159f, 
0.742914f, 
0.721662f, 
0.699668f, 
0.677839f, 
0.655091f, 
0.632665f, 
0.609734f, 
0.587043f, 
0.564298f, 
0.541769f, 
0.519529f, 
0.497574f, 
0.476028f, 
0.454961f, 
0.434341f, 
0.414364f, 
0.394832f, 
0.376109f, 
0.357790f, 
0.340379f, 
0.323385f, 
0.307295f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
1.000000f, 
0.999999f, 
0.999999f, 
0.999998f, 
0.999997f, 
0.999996f, 
0.999992f, 
0.999986f, 
0.999975f, 
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